Averaging of the planetary 3D geostrophic equations with oscillating external forces

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摘要

In this article, we consider a non-autonomous three-dimensional planetary geostrophic model of the ocean with a singularly oscillating external force depending on a small parameter ϵ. We prove the existence of the uniform global attractor Aϵ. Furthermore, using the method of [11] in the case of the two-dimensional Navier–Stokes systems, we study the convergence of Aϵ as ϵ goes to zero.

论文关键词:Averaging,Geostrophic equations,Global attractor,Oscillating force

论文评审过程:Available online 15 December 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.11.048